TSTP Solution File: GEO333+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO333+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:05:28 EDT 2022

% Result   : Theorem 1.91s 225.09s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  135 (  49 unt;   0 def)
%            Number of atoms       :  687 ( 338 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  918 ( 366   ~; 459   |;  82   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :  295 (   0 sgn  90   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))',axiom,
    ! [X173,X174,X175,X176,X177,X178,X179] :
      ( ( ~ rR(X173,X175,X177)
        & ~ rR(X173,X174,X176)
        & X177 != X173
        & X176 != X173
        & X175 != X173
        & X174 != X173
        & ron(X177,X179)
        & ron(X175,X179)
        & ron(X176,X178)
        & ron(X174,X178)
        & ron(X173,X178)
        & ? [X180] :
            ( X179 = X180
            & rline(X180) )
        & ? [X181] :
            ( X178 = X181
            & rline(X181) )
        & ? [X182] :
            ( X177 = X182
            & rpoint(X182) )
        & ? [X183] :
            ( X176 = X183
            & rpoint(X183) )
        & ? [X184] :
            ( X175 = X184
            & rpoint(X184) )
        & ? [X185] :
            ( X174 = X185
            & rpoint(X185) )
        & ? [X186] :
            ( X173 = X186
            & rpoint(X186) ) )
     => vangle(X174,X173,X175) = vangle(X176,X173,X177) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).

fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [X198,X199] :
      ( ( X198 != X199
        & ? [X200] :
            ( X199 = X200
            & rpoint(X200) )
        & ? [X201] :
            ( X198 = X201
            & rpoint(X201) ) )
     => ? [X202] :
          ( ron(X199,X202)
          & ron(X198,X202)
          & rline(X202) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
    ! [X673,X674,X675] :
      ( ( X673 != X675
        & X673 != X674
        & ? [X676] :
            ( X675 = X676
            & rpoint(X676) )
        & ? [X677] :
            ( X674 = X677
            & rpoint(X677) )
        & ? [X678] :
            ( X673 = X678
            & rpoint(X678) ) )
     => vangle(X673,X674,X675) = vangle(X675,X674,X673) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).

fof('qe(s2(plural(386)))',axiom,
    ? [X1] :
      ( vd1362 = X1
      & rpoint(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s2(plural(386)))') ).

fof('qe(s1(plural(386)))',axiom,
    ? [X7] :
      ( vd1361 = X7
      & rpoint(X7) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s1(plural(386)))') ).

fof('qe(s3(plural(386)))',axiom,
    ? [X6] :
      ( vd1363 = X6
      & rpoint(X6) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s3(plural(386)))') ).

fof('holds(386, 1365, 0)',axiom,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(386, 1365, 0)') ).

fof('pred(386, 7)',axiom,
    vd1361 != vd1362,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 7)') ).

fof('pred(386, 8)',axiom,
    vd1361 != vd1363,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 8)') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X120,X121,X122] :
      ( ( rR(X121,X120,X122)
        & ? [X123] :
            ( X122 = X123
            & rpoint(X123) )
        & ? [X124] :
            ( X121 = X124
            & rpoint(X124) )
        & ? [X125] :
            ( X120 = X125
            & rpoint(X125) ) )
     => ( ~ rR(X120,X121,X122)
        & X120 != X122
        & X120 != X121
        & rR(X121,X122,X120) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof('holds(conjunct2(391), 1375, 0)',conjecture,
    vangle(vd1371,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(391), 1375, 0)') ).

fof('holds(conjunct1(390), 1372, 0)',axiom,
    rR(vd1371,vd1362,vd1361),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(390), 1372, 0)') ).

fof('pred(390, 0)',axiom,
    rpoint(vd1371),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(390, 0)') ).

fof('pred(386, 9)',axiom,
    vd1362 != vd1363,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 9)') ).

fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
    ! [X150,X151] :
      ( ( X150 = X151
        & rreal(X151) )
     => vplus(X150,v0) = X150 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).

fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
    ! [X146,X147,X148,X149] :
      ( ( X148 = X149
        & rreal(X149)
        & X146 = X147
        & rreal(X147) )
     => vplus(X146,X148) = vplus(X148,X146) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).

fof('ass(cond(156, 0), 0)',axiom,
    ! [X140,X141,X142,X143,X144,X145] :
      ( ( vplus(X140,X144) = vplus(X142,X144)
        & X144 = X145
        & rreal(X145)
        & X142 = X143
        & rreal(X143)
        & X140 = X141
        & rreal(X141) )
     => X140 = X142 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','ass(cond(156, 0), 0)') ).

fof('pred(axiom(137), 2)',axiom,
    v0 = vd684,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(axiom(137), 2)') ).

fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
    ! [X79,X80] :
      ( ( ? [X81] :
            ( X80 = X81
            & rpoint(X81) )
        & ? [X82] :
            ( X79 = X82
            & rpoint(X82) ) )
     => ? [X83] :
          ( vf(X79,X80) = X83
          & rreal(X83) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof('pred(axiom(137), 1)',axiom,
    rreal(vd684),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(axiom(137), 1)') ).

fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
    ! [X187,X188,X189] :
      ( ( rR(X188,X187,X189)
        & ? [X190] :
            ( X189 = X190
            & rpoint(X190) )
        & ? [X191] :
            ( X188 = X191
            & rpoint(X191) )
        & ? [X192] :
            ( X187 = X192
            & rpoint(X192) ) )
     => vplus(vf(X187,X188),vf(X188,X189)) = vf(X187,X189) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).

fof('holds(conjunct1(391), 1374, 0)',axiom,
    vf(vd1371,vd1362) = vf(vd1361,vd1363),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(391), 1374, 0)') ).

fof('holds(conjunct2(390), 1373, 0)',axiom,
    vf(vd1362,vd1371) = vf(vd1361,vd1363),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(390), 1373, 0)') ).

fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
    ! [X75,X76] :
      ( ( ? [X77] :
            ( X76 = X77
            & rpoint(X77) )
        & ? [X78] :
            ( X75 = X78
            & rpoint(X78) ) )
     => ( vf(X75,X76) = v0
      <=> X75 = X76 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(c_0_24,plain,
    ! [X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200] :
      ( rR(X187,X189,X191)
      | rR(X187,X188,X190)
      | X191 = X187
      | X190 = X187
      | X189 = X187
      | X188 = X187
      | ~ ron(X191,X193)
      | ~ ron(X189,X193)
      | ~ ron(X190,X192)
      | ~ ron(X188,X192)
      | ~ ron(X187,X192)
      | X193 != X194
      | ~ rline(X194)
      | X192 != X195
      | ~ rline(X195)
      | X191 != X196
      | ~ rpoint(X196)
      | X190 != X197
      | ~ rpoint(X197)
      | X189 != X198
      | ~ rpoint(X198)
      | X188 != X199
      | ~ rpoint(X199)
      | X187 != X200
      | ~ rpoint(X200)
      | vangle(X188,X187,X189) = vangle(X190,X187,X191) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))'])])])])])]) ).

fof(c_0_25,plain,
    ! [X203,X204,X205,X206] :
      ( ( ron(X204,esk10_2(X203,X204))
        | X203 = X204
        | X204 != X205
        | ~ rpoint(X205)
        | X203 != X206
        | ~ rpoint(X206) )
      & ( ron(X203,esk10_2(X203,X204))
        | X203 = X204
        | X204 != X205
        | ~ rpoint(X205)
        | X203 != X206
        | ~ rpoint(X206) )
      & ( rline(esk10_2(X203,X204))
        | X203 = X204
        | X204 != X205
        | ~ rpoint(X205)
        | X203 != X206
        | ~ rpoint(X206) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])])])]) ).

cnf(c_0_26,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X1 = X2
    | X3 = X2
    | X4 = X2
    | X5 = X2
    | rR(X2,X1,X4)
    | rR(X2,X3,X5)
    | ~ rpoint(X6)
    | X2 != X6
    | ~ rpoint(X7)
    | X1 != X7
    | ~ rpoint(X8)
    | X3 != X8
    | ~ rpoint(X9)
    | X4 != X9
    | ~ rpoint(X10)
    | X5 != X10
    | ~ rline(X11)
    | X12 != X11
    | ~ rline(X13)
    | X14 != X13
    | ~ ron(X2,X12)
    | ~ ron(X1,X12)
    | ~ ron(X4,X12)
    | ~ ron(X3,X14)
    | ~ ron(X5,X14) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_27,plain,
    ( X2 = X4
    | ron(X2,esk10_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ ron(X5,X6)
    | ~ ron(X4,X7)
    | ~ ron(X3,X6)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])])])])])]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | ron(X1,esk10_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).

cnf(c_0_30,plain,
    ( X2 = X4
    | ron(X4,esk10_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X6
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(esk10_2(X5,X6))
    | ~ rline(X7)
    | ~ ron(X3,esk10_2(X5,X6))
    | ~ ron(X4,X7)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | ron(X2,esk10_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).

cnf(c_0_33,plain,
    ( X2 = X4
    | rline(esk10_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(esk10_2(X5,X3))
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | rline(esk10_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).

cnf(c_0_36,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | X4 = X6
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(esk10_2(X4,X6))
    | ~ ron(X2,esk10_2(X4,X6))
    | ~ ron(X1,esk10_2(X4,X6))
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_29]) ).

cnf(c_0_38,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rline(esk10_2(X4,X2))
    | ~ ron(X1,esk10_2(X4,X2))
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_32]) ).

fof(c_0_39,plain,
    ! [X679,X680,X681,X682,X683,X684] :
      ( X679 = X681
      | X679 = X680
      | X681 != X682
      | ~ rpoint(X682)
      | X680 != X683
      | ~ rpoint(X683)
      | X679 != X684
      | ~ rpoint(X684)
      | vangle(X679,X680,X681) = vangle(X681,X680,X679) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))'])])])])]) ).

fof(c_0_40,plain,
    ( vd1362 = esk1_0
    & rpoint(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).

fof(c_0_41,plain,
    ( vd1361 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).

fof(c_0_42,plain,
    ( vd1363 = esk2_0
    & rpoint(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).

cnf(c_0_43,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,X4)
    | X2 = X4
    | X2 = X1
    | X2 = X3
    | X4 = X3
    | rR(X2,X3,X4)
    | rR(X2,X1,X1)
    | ~ rline(esk10_2(X1,X2))
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_44,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X2
    | X1 = X3
    | ~ rpoint(X4)
    | X1 != X4
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rpoint(X6)
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    inference(split_conjunct,[status(thm)],['holds(386, 1365, 0)']) ).

cnf(c_0_46,plain,
    vd1362 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,plain,
    vd1361 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,plain,
    vd1363 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,plain,
    vd1361 != vd1362,
    inference(split_conjunct,[status(thm)],['pred(386, 7)']) ).

cnf(c_0_50,plain,
    vd1361 != vd1363,
    inference(split_conjunct,[status(thm)],['pred(386, 8)']) ).

fof(c_0_51,plain,
    ! [X126,X127,X128,X129,X130,X131] :
      ( ( ~ rR(X126,X127,X128)
        | ~ rR(X127,X126,X128)
        | X128 != X129
        | ~ rpoint(X129)
        | X127 != X130
        | ~ rpoint(X130)
        | X126 != X131
        | ~ rpoint(X131) )
      & ( X126 != X128
        | ~ rR(X127,X126,X128)
        | X128 != X129
        | ~ rpoint(X129)
        | X127 != X130
        | ~ rpoint(X130)
        | X126 != X131
        | ~ rpoint(X131) )
      & ( X126 != X127
        | ~ rR(X127,X126,X128)
        | X128 != X129
        | ~ rpoint(X129)
        | X127 != X130
        | ~ rpoint(X130)
        | X126 != X131
        | ~ rpoint(X131) )
      & ( rR(X127,X128,X126)
        | ~ rR(X127,X126,X128)
        | X128 != X129
        | ~ rpoint(X129)
        | X127 != X130
        | ~ rpoint(X130)
        | X126 != X131
        | ~ rpoint(X131) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))'])])])])])])]) ).

cnf(c_0_52,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,X4)
    | X2 = X4
    | X2 = X1
    | X2 = X3
    | X4 = X3
    | rR(X2,X3,X4)
    | rR(X2,X1,X1)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_35]) ).

cnf(c_0_53,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_54,negated_conjecture,
    vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1363,vd1362),
    inference(assume_negation,[status(cth)],['holds(conjunct2(391), 1375, 0)']) ).

cnf(c_0_55,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X3
    | X1 = X2
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])])]) ).

cnf(c_0_56,plain,
    vangle(esk3_0,esk2_0,esk1_0) = vangle(esk3_0,esk1_0,esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_47]),c_0_48]) ).

cnf(c_0_57,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_58,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_59,plain,
    esk3_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_46]),c_0_47]) ).

cnf(c_0_60,plain,
    esk3_0 != esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_48]),c_0_47]) ).

cnf(c_0_61,plain,
    ( ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6)
    | ~ rR(X2,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_62,plain,
    rR(vd1371,vd1362,vd1361),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(390), 1372, 0)']) ).

cnf(c_0_63,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,esk3_0)
    | X2 = esk3_0
    | esk3_0 = X3
    | X2 = X1
    | X2 = X3
    | rR(X2,X3,esk3_0)
    | rR(X2,X1,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

fof(c_0_64,negated_conjecture,
    vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1363,vd1362),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

cnf(c_0_65,plain,
    vangle(esk3_0,esk1_0,esk2_0) = vangle(esk1_0,esk2_0,esk3_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_53])]),c_0_59]),c_0_60]) ).

cnf(c_0_66,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X3,X1)
    | ~ rR(X3,X2,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_61])])]) ).

cnf(c_0_67,plain,
    rR(vd1371,esk1_0,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_46]),c_0_47]) ).

cnf(c_0_68,plain,
    rpoint(vd1371),
    inference(split_conjunct,[status(thm)],['pred(390, 0)']) ).

cnf(c_0_69,plain,
    ( vangle(esk2_0,X1,X2) = vangle(esk2_0,X1,esk3_0)
    | X1 = esk3_0
    | esk3_0 = X2
    | X1 = esk2_0
    | X1 = X2
    | rR(X1,esk2_0,esk2_0)
    | rR(X1,X2,esk3_0)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_58]) ).

cnf(c_0_70,plain,
    vd1362 != vd1363,
    inference(split_conjunct,[status(thm)],['pred(386, 9)']) ).

cnf(c_0_71,negated_conjecture,
    vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1363,vd1362),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,plain,
    vangle(esk3_0,esk2_0,esk1_0) = vangle(esk1_0,esk2_0,esk3_0),
    inference(rw,[status(thm)],[c_0_56,c_0_65]) ).

cnf(c_0_73,plain,
    ( ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6)
    | X2 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_74,plain,
    ~ rR(esk1_0,vd1371,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_53]),c_0_68]),c_0_57])]) ).

cnf(c_0_75,plain,
    ( vangle(esk2_0,X1,vd1371) = vangle(esk2_0,X1,esk3_0)
    | vd1371 = esk3_0
    | X1 = esk3_0
    | X1 = esk2_0
    | X1 = vd1371
    | rR(X1,esk2_0,esk2_0)
    | rR(X1,vd1371,esk3_0)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_68]) ).

cnf(c_0_76,plain,
    vangle(esk2_0,esk1_0,esk3_0) = vangle(esk1_0,esk2_0,esk3_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_65]),c_0_58]),c_0_57]),c_0_53])]),c_0_60]),c_0_59]) ).

cnf(c_0_77,plain,
    esk2_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_46]),c_0_48]) ).

fof(c_0_78,plain,
    ! [X152,X153] :
      ( X152 != X153
      | ~ rreal(X153)
      | vplus(X152,v0) = X152 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])])])]) ).

fof(c_0_79,plain,
    ! [X150,X151,X152,X153] :
      ( X152 != X153
      | ~ rreal(X153)
      | X150 != X151
      | ~ rreal(X151)
      | vplus(X150,X152) = vplus(X152,X150) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])])])]) ).

cnf(c_0_80,negated_conjecture,
    vangle(vd1371,esk1_0,esk2_0) != vangle(esk1_0,esk2_0,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_72]),c_0_48]) ).

cnf(c_0_81,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X2,X1,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_73])])])]) ).

cnf(c_0_82,plain,
    ( vangle(esk2_0,esk1_0,vd1371) = vangle(esk1_0,esk2_0,esk3_0)
    | vd1371 = esk3_0
    | vd1371 = esk1_0
    | rR(esk1_0,esk2_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_57])]),c_0_59]),c_0_77]) ).

fof(c_0_83,plain,
    ! [X146,X147,X148,X149,X150,X151] :
      ( vplus(X146,X150) != vplus(X148,X150)
      | X150 != X151
      | ~ rreal(X151)
      | X148 != X149
      | ~ rreal(X149)
      | X146 != X147
      | ~ rreal(X147)
      | X146 = X148 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])])])]) ).

cnf(c_0_84,plain,
    ( vplus(X1,v0) = X1
    | ~ rreal(X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_85,plain,
    v0 = vd684,
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).

cnf(c_0_86,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X3)
    | X1 != X3
    | ~ rreal(X4)
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

fof(c_0_87,plain,
    ! [X84,X85,X86,X87] :
      ( ( vf(X84,X85) = esk7_2(X84,X85)
        | X85 != X86
        | ~ rpoint(X86)
        | X84 != X87
        | ~ rpoint(X87) )
      & ( rreal(esk7_2(X84,X85))
        | X85 != X86
        | ~ rpoint(X86)
        | X84 != X87
        | ~ rpoint(X87) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])])])]) ).

cnf(c_0_88,plain,
    ( vangle(vd1371,X1,X2) = vangle(vd1371,X1,esk3_0)
    | X1 = esk3_0
    | esk3_0 = X2
    | X1 = vd1371
    | X1 = X2
    | rR(X1,vd1371,vd1371)
    | rR(X1,X2,esk3_0)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_68]) ).

cnf(c_0_89,negated_conjecture,
    ( vd1371 = esk2_0
    | vangle(esk2_0,esk1_0,vd1371) != vangle(esk1_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_80,c_0_55]),c_0_68]),c_0_57]),c_0_58])]),c_0_77]) ).

cnf(c_0_90,plain,
    ( vangle(esk2_0,esk1_0,vd1371) = vangle(esk1_0,esk2_0,esk3_0)
    | vd1371 = esk3_0
    | vd1371 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_58]),c_0_57])]) ).

cnf(c_0_91,plain,
    ( X1 = X2
    | ~ rreal(X3)
    | X1 != X3
    | ~ rreal(X4)
    | X2 != X4
    | ~ rreal(X5)
    | X6 != X5
    | vplus(X1,X6) != vplus(X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_92,plain,
    ( vplus(X1,vd684) = X1
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).

cnf(c_0_93,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_86])]) ).

cnf(c_0_94,plain,
    rreal(vd684),
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).

fof(c_0_95,plain,
    ! [X193,X194,X195,X196,X197,X198] :
      ( ~ rR(X194,X193,X195)
      | X195 != X196
      | ~ rpoint(X196)
      | X194 != X197
      | ~ rpoint(X197)
      | X193 != X198
      | ~ rpoint(X198)
      | vplus(vf(X193,X194),vf(X194,X195)) = vf(X193,X195) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])])])]) ).

cnf(c_0_96,plain,
    vf(vd1371,vd1362) = vf(vd1361,vd1363),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(391), 1374, 0)']) ).

cnf(c_0_97,plain,
    vf(vd1362,vd1371) = vf(vd1361,vd1363),
    inference(split_conjunct,[status(thm)],['holds(conjunct2(390), 1373, 0)']) ).

cnf(c_0_98,plain,
    ( rreal(esk7_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_99,plain,
    ( vf(X2,X4) = esk7_2(X2,X4)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

fof(c_0_100,plain,
    ! [X79,X80,X81,X82] :
      ( ( vf(X79,X80) != v0
        | X79 = X80
        | X80 != X81
        | ~ rpoint(X81)
        | X79 != X82
        | ~ rpoint(X82) )
      & ( X79 != X80
        | vf(X79,X80) = v0
        | X80 != X81
        | ~ rpoint(X81)
        | X79 != X82
        | ~ rpoint(X82) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])])])]) ).

cnf(c_0_101,plain,
    ( vangle(vd1371,X1,esk3_0) = vangle(vd1371,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1371
    | X1 = esk2_0
    | rR(X1,vd1371,vd1371)
    | rR(X1,esk2_0,esk3_0)
    | ~ rpoint(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_58]),c_0_60]) ).

cnf(c_0_102,negated_conjecture,
    ( vd1371 = esk2_0
    | vd1371 = esk3_0
    | vd1371 = esk1_0 ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_103,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X2,X3)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_91])])]) ).

cnf(c_0_104,plain,
    ( vplus(vd684,X1) = X1
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).

cnf(c_0_105,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X4)
    | X1 != X4
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rpoint(X6)
    | X3 != X6
    | ~ rR(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_106,plain,
    vf(vd1371,esk1_0) = vf(esk3_0,esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_47]),c_0_48]),c_0_46]) ).

cnf(c_0_107,plain,
    vf(esk3_0,esk2_0) = vf(esk1_0,vd1371),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_47]),c_0_48]),c_0_46]) ).

cnf(c_0_108,plain,
    ( rreal(esk7_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_98])]) ).

cnf(c_0_109,plain,
    ( esk7_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_99])]) ).

cnf(c_0_110,plain,
    ( X2 = X4
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | vf(X2,X4) != v0 ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_111,plain,
    ( vangle(vd1371,X1,esk3_0) = vangle(vd1371,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1371
    | X1 = esk2_0
    | rR(X1,esk2_0,esk3_0)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_101]),c_0_68])]) ).

cnf(c_0_112,negated_conjecture,
    ( vd1371 = esk2_0
    | vd1371 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_102]),c_0_65])]) ).

cnf(c_0_113,plain,
    ( X1 = vd684
    | vplus(X1,X2) != X2
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_94])]) ).

cnf(c_0_114,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rR(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])])]) ).

cnf(c_0_115,plain,
    vf(vd1371,esk1_0) = vf(esk1_0,vd1371),
    inference(rw,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_116,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_117,plain,
    ( X1 = X2
    | vf(X1,X2) != vd684
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_85])])]) ).

cnf(c_0_118,plain,
    ( vangle(vd1371,X1,esk3_0) = vangle(vd1371,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1371
    | X1 = esk2_0
    | ~ rpoint(X1)
    | ~ rR(esk2_0,X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_111]),c_0_53]),c_0_58])]) ).

cnf(c_0_119,negated_conjecture,
    ( vd1371 = esk1_0
    | rR(esk2_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_112]) ).

cnf(c_0_120,plain,
    ( X1 = vd684
    | vplus(X2,X1) != X2
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(pm,[status(thm)],[c_0_113,c_0_93]) ).

cnf(c_0_121,plain,
    ( vplus(vf(X1,vd1371),vf(esk1_0,vd1371)) = vf(X1,esk1_0)
    | ~ rpoint(X1)
    | ~ rR(vd1371,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_57]),c_0_68])]) ).

cnf(c_0_122,plain,
    rreal(vf(esk1_0,vd1371)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_107]),c_0_58]),c_0_53])]) ).

cnf(c_0_123,plain,
    vf(esk1_0,vd1371) != vd684,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_107]),c_0_58]),c_0_53])]),c_0_60]) ).

cnf(c_0_124,plain,
    ( rR(X4,X6,X2)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_125,negated_conjecture,
    ( vangle(vd1371,esk1_0,esk3_0) = vangle(vd1371,esk1_0,esk2_0)
    | vd1371 = esk1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_57])]),c_0_59]),c_0_77]) ).

cnf(c_0_126,plain,
    ( vf(X1,vd1371) != vf(X1,esk1_0)
    | ~ rreal(vf(X1,vd1371))
    | ~ rpoint(X1)
    | ~ rR(vd1371,X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]),c_0_123]) ).

cnf(c_0_127,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X1,X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_124])])]) ).

cnf(c_0_128,negated_conjecture,
    ( vangle(vd1371,esk1_0,esk2_0) = vangle(esk3_0,esk1_0,vd1371)
    | vd1371 = esk3_0
    | vd1371 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_125]),c_0_53]),c_0_57]),c_0_68])]) ).

cnf(c_0_129,plain,
    ( vf(X1,vd1371) != vf(X1,esk1_0)
    | ~ rpoint(X1)
    | ~ rR(vd1371,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_116]),c_0_68])]) ).

cnf(c_0_130,plain,
    rR(vd1371,esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_67]),c_0_53]),c_0_68]),c_0_57])]) ).

cnf(c_0_131,negated_conjecture,
    ( vd1371 = esk3_0
    | vd1371 = esk1_0
    | vangle(esk3_0,esk1_0,vd1371) != vangle(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_128]) ).

cnf(c_0_132,plain,
    vf(esk3_0,vd1371) != vf(esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_53])]) ).

cnf(c_0_133,negated_conjecture,
    vd1371 = esk1_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_112]),c_0_65])]),c_0_60]),c_0_77]) ).

cnf(c_0_134,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO333+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 01:32:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.40/23.42  eprover: CPU time limit exceeded, terminating
% 0.40/23.42  eprover: CPU time limit exceeded, terminating
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.46  eprover: CPU time limit exceeded, terminating
% 0.57/46.43  eprover: CPU time limit exceeded, terminating
% 0.57/46.44  eprover: CPU time limit exceeded, terminating
% 0.57/46.45  eprover: CPU time limit exceeded, terminating
% 0.57/46.47  eprover: CPU time limit exceeded, terminating
% 0.74/69.45  eprover: CPU time limit exceeded, terminating
% 0.74/69.46  eprover: CPU time limit exceeded, terminating
% 0.74/69.46  eprover: CPU time limit exceeded, terminating
% 0.74/69.48  eprover: CPU time limit exceeded, terminating
% 0.92/92.46  eprover: CPU time limit exceeded, terminating
% 0.92/92.48  eprover: CPU time limit exceeded, terminating
% 0.92/92.48  eprover: CPU time limit exceeded, terminating
% 0.92/92.50  eprover: CPU time limit exceeded, terminating
% 1.10/115.48  eprover: CPU time limit exceeded, terminating
% 1.10/115.49  eprover: CPU time limit exceeded, terminating
% 1.10/115.50  eprover: CPU time limit exceeded, terminating
% 1.10/115.51  eprover: CPU time limit exceeded, terminating
% 1.26/138.50  eprover: CPU time limit exceeded, terminating
% 1.26/138.51  eprover: CPU time limit exceeded, terminating
% 1.26/138.52  eprover: CPU time limit exceeded, terminating
% 1.26/138.52  eprover: CPU time limit exceeded, terminating
% 1.43/161.51  eprover: CPU time limit exceeded, terminating
% 1.43/161.52  eprover: CPU time limit exceeded, terminating
% 1.43/161.54  eprover: CPU time limit exceeded, terminating
% 1.43/161.55  eprover: CPU time limit exceeded, terminating
% 1.61/184.53  eprover: CPU time limit exceeded, terminating
% 1.61/184.54  eprover: CPU time limit exceeded, terminating
% 1.61/184.56  eprover: CPU time limit exceeded, terminating
% 1.61/184.56  eprover: CPU time limit exceeded, terminating
% 1.79/207.55  eprover: CPU time limit exceeded, terminating
% 1.79/207.56  eprover: CPU time limit exceeded, terminating
% 1.79/207.57  eprover: CPU time limit exceeded, terminating
% 1.79/207.57  eprover: CPU time limit exceeded, terminating
% 1.91/225.09  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.91/225.09  # Preprocessing time       : 0.049 s
% 1.91/225.09  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.91/225.09  # Preprocessing time       : 0.023 s
% 1.91/225.09  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 1.91/225.09  # Preprocessing time       : 0.062 s
% 1.91/225.09  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # Preprocessing time       : 0.065 s
% 1.91/225.09  # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 1.91/225.09  # Preprocessing time       : 0.034 s
% 1.91/225.09  # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # Preprocessing time       : 0.035 s
% 1.91/225.09  # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 1.91/225.09  # Preprocessing time       : 0.056 s
% 1.91/225.09  # Running protocol protocol_eprover_2e85aeff02a0bd3743f362014f6604d7fba54d74 for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.91/225.09  # Preprocessing time       : 0.051 s
% 1.91/225.09  # Running protocol protocol_eprover_334d43c175335e554899225728a5c2ebd420f86b for 23 seconds:
% 1.91/225.09  
% 1.91/225.09  # Failure: Resource limit exceeded (time)
% 1.91/225.09  # OLD status Res
% 1.91/225.09  # Preprocessing time       : 0.036 s
% 1.91/225.09  # Running protocol protocol_eprover_13918ce26d63c8fe682016bfda2032977bcbf85b for 23 seconds:
% 1.91/225.09  # Preprocessing time       : 0.065 s
% 1.91/225.09  
% 1.91/225.09  # Proof found!
% 1.91/225.09  # SZS status Theorem
% 1.91/225.09  # SZS output start CNFRefutation
% See solution above
% 1.91/225.09  # Proof object total steps             : 135
% 1.91/225.09  # Proof object clause steps            : 96
% 1.91/225.09  # Proof object formula steps           : 39
% 1.91/225.09  # Proof object conjectures             : 13
% 1.91/225.09  # Proof object clause conjectures      : 10
% 1.91/225.09  # Proof object formula conjectures     : 3
% 1.91/225.09  # Proof object initial clauses used    : 32
% 1.91/225.09  # Proof object initial formulas used   : 24
% 1.91/225.09  # Proof object generating inferences   : 38
% 1.91/225.09  # Proof object simplifying inferences  : 147
% 1.91/225.09  # Training examples: 0 positive, 0 negative
% 1.91/225.09  # Parsed axioms                        : 129
% 1.91/225.09  # Removed by relevancy pruning/SinE    : 0
% 1.91/225.09  # Initial clauses                      : 287
% 1.91/225.09  # Removed in clause preprocessing      : 2
% 1.91/225.09  # Initial clauses in saturation        : 285
% 1.91/225.09  # Processed clauses                    : 21251
% 1.91/225.09  # ...of these trivial                  : 31
% 1.91/225.09  # ...subsumed                          : 7521
% 1.91/225.09  # ...remaining for further processing  : 13699
% 1.91/225.09  # Other redundant clauses eliminated   : 1194
% 1.91/225.09  # Clauses deleted for lack of memory   : 388636
% 1.91/225.09  # Backward-subsumed                    : 3527
% 1.91/225.09  # Backward-rewritten                   : 4043
% 1.91/225.09  # Generated clauses                    : 502863
% 1.91/225.09  # ...of the previous two non-trivial   : 485548
% 1.91/225.09  # Contextual simplify-reflections      : 0
% 1.91/225.09  # Paramodulations                      : 502524
% 1.91/225.09  # Factorizations                       : 25
% 1.91/225.09  # Equation resolutions                 : 1247
% 1.91/225.09  # Current number of processed clauses  : 5868
% 1.91/225.09  #    Positive orientable unit clauses  : 20
% 1.91/225.09  #    Positive unorientable unit clauses: 0
% 1.91/225.09  #    Negative unit clauses             : 7
% 1.91/225.09  #    Non-unit-clauses                  : 5841
% 1.91/225.09  # Current number of unprocessed clauses: 19097
% 1.91/225.09  # ...number of literals in the above   : 288787
% 1.91/225.09  # Current number of archived formulas  : 0
% 1.91/225.09  # Current number of archived clauses   : 7577
% 1.91/225.09  # Clause-clause subsumption calls (NU) : 5077505
% 1.91/225.09  # Rec. Clause-clause subsumption calls : 68551
% 1.91/225.09  # Non-unit clause-clause subsumptions  : 10863
% 1.91/225.09  # Unit Clause-clause subsumption calls : 8330
% 1.91/225.09  # Rewrite failures with RHS unbound    : 0
% 1.91/225.09  # BW rewrite match attempts            : 10
% 1.91/225.09  # BW rewrite match successes           : 10
% 1.91/225.09  # Condensation attempts                : 0
% 1.91/225.09  # Condensation successes               : 0
% 1.91/225.09  # Termbank termtop insertions          : 24546960
% 1.91/225.09  
% 1.91/225.09  # -------------------------------------------------
% 1.91/225.09  # User time                : 17.024 s
% 1.91/225.09  # System time              : 0.136 s
% 1.91/225.09  # Total time               : 17.160 s
% 1.91/225.09  # Maximum resident set size: 146052 pages
% 1.91/230.59  eprover: CPU time limit exceeded, terminating
% 1.91/230.59  eprover: CPU time limit exceeded, terminating
% 1.91/230.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/230.60  eprover: No such file or directory
% 1.91/230.60  eprover: CPU time limit exceeded, terminating
% 1.91/230.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/230.60  eprover: No such file or directory
% 1.91/230.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.91/230.61  eprover: No such file or directory
% 1.91/230.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.91/230.61  eprover: No such file or directory
% 1.91/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/230.62  eprover: No such file or directory
% 1.91/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.91/230.62  eprover: No such file or directory
%------------------------------------------------------------------------------